Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
On an orbifold Hamiltonian structure for the first Painlevé equation
Katsunori IwasakiShu Okada
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2016 Volume 68 Issue 3 Pages 961-974

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Abstract

For the first Painlevé equation we establish an orbifold polynomial Hamiltonian structure on the fibration of Okamoto's spaces and show that this geometric structure uniquely recovers the original Painlevé equation, thereby solving a problem posed by K. Takano.

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© 2016 The Mathematical Society of Japan
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